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JEE Advanced levelOne or more correct optionsDifficulty 3 of 3ig108

Two gases X and Y have densities in the ratio $d_{X} : d_{Y} = 1 : 4$ at the same temperature and pressure. Which statements are correct?

A $M_{X} : M_{Y} = 1 : 4$
BRate of diffusion of X is twice that of Y under identical conditions
Crms speed of X is twice that of Y at the same temperature
DIf X and Y are mixed in equal masses, the mole fraction of X is $0.8$

Answer: A, B, C, D

d \propto M

at fixed

T

,

P

(A).

r \propto 1/ M

: ratio

4 = 2

(B). Same for rms speed (C). Equal masses

w

:

n_{X} = w / M

,

n_{Y} = w /4 M

;

x_{X} = \frac{1}{1 + 1/4} = 0.8

(D). All correct.

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